### We found 121 resources with the concept minimums

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38 Items in Collection
Lesson Planet

#### AP Calculus AB

For Students 11th - 12th
Prepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...
Lesson Planet

#### Linear Programming: Sports Shoes

For Teachers 9th - 12th Standards
Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...
Lesson Planet

#### Land Development

For Teachers 9th - 12th Standards
Groups work with polynomials to devise functions that will model a selling price for property. The teams determine variables to create expressions to represent the cost required to develop land into a housing addition. Classmates then...
7:54
Lesson Planet

#### The Behavior of Graphs

For Students 8th - 11th Standards
How are the graphs behaving? An instructional video first describes how to find the horizontal and vertical intercepts of a graph. It then looks at how to identify intervals where the graph is increasing, decreasing, and constant.
Lesson Planet

#### Smarter Balanced Sample Items: High School Math – Target E

For Students 9th - 12th Standards
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
Lesson Planet

For Students 8th - 10th Standards
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Lesson Planet

#### F.IF.C.7.a, F.IF.B.4, and F.IF.B.5 Assessment Items

For Teachers 9th - 11th Standards
Don't go all quadratic on me. A set of assessment questions tests understanding of F-IF.7a, F-IF.4, and F-IF.5. Young mathematicians consider the graphs of quadratic applications to interpret intercepts, minima, maxima, domain, and range...
Lesson Planet

#### Awesometh Degree of a Function

For Teachers 10th - 12th Standards
Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...
Lesson Planet

#### Make It Fit

For Teachers 11th - 12th
Of course, calculus can help you build the largest box possible. Scholars play a digital game to gain familiarity with situations where optimization would be appropriate. After gaining a solid conceptual understanding of optimization,...
Lesson Planet

#### Ordered Simple Plot

For Students 6th - 10th Standards
Open your imagination to make algebra-inspired creations. An interactive lesson has scholars graph images from a set of parameters. Users can practice minimum values, maximum values, and scale as well as key features.
Lesson Planet

#### How High Can I Go?

For Teachers 9th - 10th Standards
All you need to graph a quadratic? Two points and a line! Working in pairs, classmates find the roots of a quadratic. After learning how to find the axis of symmetry and its importance in finding the vertex, pairs graph several quadratic...
Lesson Planet

#### Hip to Be (Completing the) Square

For Teachers 9th - 12th Standards
Build a square physically, with representations, and, finally, algebraically. The lesson plan takes the class through the concept of completing the square first concretely, secondly by using representations, and finally via abstract...
Lesson Planet

For Teachers 9th - 12th Standards
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Lesson Planet

#### Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection.
Lesson Planet

#### City Temperatures and the Cosine Curve

For Students 10th - 12th Standards
Show your class that yearly temperatures are periodic—and how to model them using a trigonometric function. An interesting lesson asks learners to research the temperatures of a city for a year. After graphing this data, they write an...
Lesson Planet

#### Surf’s Up

For Students 9th - 12th Standards
Paddle your way to success in interpreting graphs. Young mathematicians use a given table of values to create a graph of a surfer's distance from shore. They explain what the x-intercepts mean in terms of the context.
3:02
Lesson Planet

For Students 9th - 12th Standards
Where is the turning point? The presentation demonstrates how the process of completing the square finds several points in the graph of a quadratic. One of the most important points found is the vertex of the graph. The video shows where...
Lesson Planet

#### Rocket Town

For Students 9th - 12th Standards
Model something other than flights of rockets with quadratics. Given the cost function to produce a toy rocket, learners find the vertex of the function. They convert the function into vertex form and determine whether the vertex is a...
Lesson Planet

#### Graphing Root Functions

For Students 9th - 12th Standards
Root for your class to learn about root functions. Scholars graph a square root function and a cube root function. Using these graphs, they answer a set of questions about the key features of the functions.
Lesson Planet

For Students 9th - 12th Standards
Graphs can tell us so much about a function. Given a quadratic function in standard form, individuals graph this function on the coordinate plane. They use the graph to find the zeros and the maximum or minimum value.
Lesson Planet

#### Graphing a Linear Function

For Students 9th - 12th Standards
Here's a straight line to understanding graphs of linear functions Scholars first graph a linear function on a coordinate plane and identify the x- and y-intercepts. Additionally, they must identify the minimum value and maximum value...
Lesson Planet

#### Algebra II: Extended Performance Task Designing the Perfect Package

For Teachers 9th - 12th Standards
Here's a package deal for a task creating equations for packages. An extended problem has learners creating a cubic function to represent the volume of a box. They consider constraints and interpret key features of their functions.
4:59
Lesson Planet

#### How to use Excel to Calculate Confidence Interval

For Students 11th - 12th Standards
Utilize Excel software to analyze a set of data by making statistical calculations. The instructor shows how to find the standard deviation, mean, minimum, maximum, margin of error, confidence intervals, and range using Excel commands....
5:20
Lesson Planet

#### Determine Minimum, Maximum, Vertex, and Zeros Given the Graph

For Students 9th - 12th Standards
Do not always be maxed out by the vertex. A short video introduces the graphical display of the vertex and zeros of a quadratic function. The presenter provides the definitions of the minimum and maximum of the graph along with...
Lesson Planet

#### Quadratic Equations — What We Know

For Teachers 8th - 10th Standards
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Lesson Planet

#### Temperatures

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first examine line graphs of monthly temperatures for two locations, and then match box plots to each line plot.
1 In 1 Collection
EngageNY

#### Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Lesson Planet

#### Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Lesson Planet

#### The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson plan introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Lesson Planet

#### Comparing Linear and Quadratic Functions

For Teachers 8th - 10th Standards
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Lesson Planet

#### Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
Lesson Planet

#### Box-and-Whisker Plots

For Students 9th - 12th Standards
Whiskers are not just for cats! Pupils create box-and-whisker plots from given data sets. They analyze the data using the graphs as their guide.
Lesson Planet

#### Extremes, Range, and Quartiles

For Students 9th - 12th Standards
The middle of the data is important, but what about the rest of it? The lesson shows learners the importance of the range, quartiles, and extreme values. Pupils practice finding each of these values from given data sets.
2 In 2 Collections
Lesson Planet

#### Seeing Structure in Expressions

For Students 9th - 12th Standards
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
Lesson Planet

#### Increasing, Decreasing, Max, and Min

For Students 8th Standards
Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or minimum...
Lesson Planet

#### Lunar Rover

For Teachers 9th - 12th Standards
What is the shortest distance/time needed to complete a mission? Groups devise a strategy in order to determine the shortest distance and time connecting two points and a segment. They then use graphing, the distance formula, and a...
Lesson Planet

#### Review Unit 3: Functions

For Students 8th Standards
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Lesson Planet

#### Contextualizing Function Qualities

For Students 8th Standards
Let the graph tell the story! Adding context to graphs allows learners to analyze the key features of the function. They make conclusions about the situation based on the areas the graph is increasing, decreasing, or has a maximum or...
6:48
Lesson Planet

#### Measure of Central Tendency and Spread for One Variable Data

For Students 9th - 12th Standards
Statistics is a powerful branch of mathematics, and it is essential to have a solid understanding of the basics. The video gives a thorough explanation of the vocabulary related to the measures of central tendency. After defining the...
Lesson Planet

#### Key Features of Graphs

For Teachers 9th - 11th Standards
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using graphs.
2:24
Lesson Planet

#### What is the Vertex of a Quadratic Function?

For Teachers 8th - 11th
The vertex of an upward facing parabola is the lowest point on the parabola and is called the minimum. The vertex on a downward facing parabola is the highest point on the parabola and is called the maximum. These are the two...
1:59
Lesson Planet

#### What is the Minimum of a Quadratic Function?

For Teachers 8th - 11th
What is the lowest point of a 'U' shaped parabola called? It's called the minimum of a quadratic function, also known as, the vertex.
1:47
Lesson Planet

#### What is the Maximum of a Quadratic Function?

For Teachers 8th - 11th
What is the highest point of an upside-down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.
6:28
Lesson Planet

#### How Do You Find the Minimum, Maximum, Quartiles, and Median of a Data Set?

For Teachers 6th - 12th
The data sample comes from the number of glasses of water consumed each day by 15 students. You are trying to find minimum, maximum, median, and quartile from this data set. Minimum is the smallest number that occurs, while maximum is...
2:36
Lesson Planet

#### What is the Minimum of a Quadratic Function?

For Teachers 6th - 12th
What is the lowest point of a 'U' shaped parabola called? It's called the minimum of a quadratic function, also known as, the vertex.
2:24
Lesson Planet

#### What is the Maximum of a Quadratic Function?

For Teachers 6th - 12th
What is the highest point of an upside down parabola called? It's called the maximum of a quadratic function, also known as, the vertex.
Lesson Planet

#### Lesson 2-5: Absolute Value Functions and Graphs

For Students 8th - 12th Standards
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and minimum...
Lesson Planet

#### Maximum/ Minimum Problems

For Students 11th - 12th
In this optimization worksheet, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
Lesson Planet

#### “FUN-ctions” Find the Equation of a Scream

For Teachers 9th - 12th Standards
Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...
1 In 1 Collection 5:13
Lesson Planet

#### Absolute Maximum and Minimum Values of a Function

For Students 11th - Higher Ed
Viewers explore the meaning of absolute maximum and minimum values for a trigonometric function within a given interval with a video that shows how to determine the critical values within the interval.The instructor then explains how to...
1 In 1 Collection 9:55
Lesson Planet

#### Local Maximum and Minimum

For Students 11th - Higher Ed
AP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical values, he...
5:03
Lesson Planet

#### Graphing Parabolas

For Students 9th - 12th Standards
Explore graphing quadratic functions by writing them in vertex form. Learners use their skills of completing the square to rewrite standard form in vertex form. They recognize key features in the equation and transfer them to the graph,...
5:10
Lesson Planet

#### How Do You Determine if the Vertex of a Quadratic Function Will be a Maximum or Minimum?

For Teachers 8th - 11th
The form of a quadratic function can help you determine if the vertex of a quadratic equation will be a minimum or a maximum of the function. If the coefficient of 'a' in the quadratic form of the equation is positive the vertex will be...
2:58
Lesson Planet

#### How Do You Find the Vertex of a Quadratic Function?

For Teachers 8th - 11th
Trying to find the vertex of a quadratic equation? Remember that the vertex is the minimum or maximum point of the quadratic equation and can be identified on a graph of the equation. First use the axis of symmetry formula to find the...
4:13
Lesson Planet

#### What is a Parabola?

For Teachers 8th - 9th
What do you get when you graph a quadratic function? Not a line, that's the graph of a linear equation. The graph of a quadratic function is a curved line, either opening upward like a smile, or opening downward like a frown. The...
Lesson Planet

#### Worksheet 23 - Directional Derivative

For Teachers Higher Ed
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
Lesson Planet

#### Finding Extreme Values

For Teachers 11th - Higher Ed
Time to get on your helmet because we are going to get Extreme! Or at least we can use a graphing calculotor to find extreme values. The class determines the extreme values and derivatives of polynomials using their TI-89 calculators.
5:52
Lesson Planet

#### How Do You Find the Minimum, Maximum, Quartiles, and Median of a Data Set?

For Teachers 6th - 12th
The data sample comes from the number of glasses of water consumed each day by 15 students. You are trying to find minimum, maximum, median, and quartile from this data set. Minimum is the smallest number that occurs, while maximum is...
Lesson Planet

#### Minimums, Maximums and Zeroes

For Teachers 9th - 12th Standards
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus instructional activity. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and...
Lesson Planet

#### Curve Sketching Review Worksheet

For Students 11th - 12th
In this curve sketching instructional activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
Lesson Planet

#### Maximum and Minimum of Functions

For Students 10th - 12th
In this calculus worksheet, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Lesson Planet

#### Lesson 10-6: Using the Quadratic Formula

For Students 9th - 12th
In this quadratic formula instructional activity, high schoolers solve 5 quadratic problems.  Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.
Lesson Planet

#### Applications of Derivatives

For Teachers 11th - 12th
Young scholars investigate the absolute maximum of a function.  In this absolute value of a function lesson, students find the absolute maximum and minimum of a function on a closed interval of 1 to 4.  Young scholars find the derivative...
Lesson Planet

#### 2007 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...
Lesson Planet

#### 2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Lesson Planet

#### 2015 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...
Lesson Planet

#### 2013 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...
Lesson Planet

#### 2017 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
Lesson Planet

#### 2012 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
Lesson Planet

#### 2011 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
Lesson Planet

#### 2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
Lesson Planet

#### 2018 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.
Lesson Planet

#### 2010 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...
Lesson Planet

#### Minimum, Maximum and Quartiles

For Students 8th - 10th
In this statistics worksheet, students identify the different parts of a whisker plot. They find the minimum, maximum and the three different quartiles.   There are 8 multiple choice questions with an answer key.
Lesson Planet

#### Test Chapter 5: Intervals

For Students 10th - 12th
In this interval worksheet, students identify the largest interval for a given situation.   They explore and explain functions, their derivative, relative maximum, and relative minimum.  Students graph functions and determine the...
Lesson Planet

#### Projectile Motion

For Teachers 12th
Twelfth graders investigate an application of derivatives.  In this Calculus lesson, 12th graders use the symbolic capacity of the TI-89 to explore a projectile motion problem.  Students find the critical points on the derivative and...
Lesson Planet

#### Critical Points

For Teachers 12th
Twelfth graders analyze a function for its critical values.  For this Calculus lesson, 12th graders investigate the function f(x) = (x-1)^2/3 as they determine if the critical numbers yield relative maxima, relative minima, or inflection...
Lesson Planet

#### Section 2.3: Function

For Students 10th - 12th
For this function worksheet, students find the standard equation of any parabola. They use a quadratic formula to find the zeros of a function and identify the maximum or minimum value. Students graph parabolas. This two-page...
Lesson Planet

#### Stem-and-Leaf Plots

For Students 8th
In this stem-and-leaf plots learning exercise, 8th graders solve and complete 3 different problems that include creating stem-and-leaf plots to solve problems. First, they determine the median, minimum, range and mode of the given set of...
Lesson Planet

#### Absolute Value Equations

For Students 8th - 9th
In this absolute value equations worksheet, students solve 10 different problems that include various absolute value equations. First, they split the equations into its two possible cases, one case for each sign, and remove the bars....
Lesson Planet

#### Worksheet 12: Relative Maximum and Minimum

For Students 12th - Higher Ed
In this relative maximum learning exercise, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page learning...
Lesson Planet

#### Worksheet 11: Derivative

For Students 12th - Higher Ed
In this derivative worksheet, students compute the relative maximum, relative minimum and inflection points of a function. They determine the derivative of a function and find the circumference of inscribed circles. This two-page...
Lesson Planet

#### Finding Roots and Newton's Method

For Students Higher Ed
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
Lesson Planet

#### Challenge Sheet 9: Improper Integrals

For Students Higher Ed
For this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Lesson Planet

#### The Second Derivative Test for Relative Extreme in Three Dimensional Space

For Students Higher Ed
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
Lesson Planet

#### Applied Maximum/Minimum Problems

For Students Higher Ed
In this maximum and minimum worksheet, students determine the dimensions of given figures inscribed within other figures or within graphs. This one-page worksheet contains seven dimension problems.
Lesson Planet

#### Complex Analysis: Homework Set 6 - Cauchy's Residue Theorem

For Students Higher Ed
In this residue theorem learning exercise, students find the maximum and minimum values of functions. They use Cauchy's Residue Theorem to evaluate integrals of functions. This two-page learning exercise contains eleven multi-step...
Lesson Planet

#### Test 4: MAT 190

For Students 9th - 11th
In this math test worksheet, students find the vertex of a quadratic equation, graph quadratic formulas, solve system of equations, and identify the maximum or minimum value of a function. There are 15 problems on this two-page worksheet.
Lesson Planet

#### Line Graphs 4

For Students 7th - 9th
In this graph activity, students interpret given line graphs. They determine the range, and identify the range in a set of data. This one-page activity contains approximately 14 problems.
Lesson Planet

#### Math Sheet #10

For Students 10th - 11th
In this math worksheet, students examine one equation and identify the maximum and minimum value of the equation. Using Excel worksheet, students graph the equation. There is one equation with three parts on this one-page worksheet.
Lesson Planet

#### Minima/Maxima

For Students 10th - 12th
In this minima/maxima instructional activity, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations....
Lesson Planet

#### Absolute Maximum and Minimum

For Teachers 10th - 12th
Students engage in a lesson that is concerned with the concepts of absolute maximum and minimum while solving for absolute extrema. They solve example problems that are used for direct instruction, guided practice, and independent...
Lesson Planet

#### the Max And Min of a Capt'n Crunch Box

For Teachers 8th - 10th
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
Lesson Planet

#### 2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
Lesson Planet

#### 2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
Lesson Planet

#### 2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Lesson Planet

#### 2003 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
Lesson Planet

#### 2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
Lesson Planet

#### 2012 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
Lesson Planet

#### 2007 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
Lesson Planet

#### 2005 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
Lesson Planet

#### 2004 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
The test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...
Lesson Planet

#### 2002 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Become better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...
Lesson Planet

#### 2003 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
Lesson Planet

#### Extrema

For Teachers 10th - 12th
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
Lesson Planet

#### 2008 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
Lesson Planet

#### 2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...
Lesson Planet

#### 1999 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
Lesson Planet

#### 1998 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a test run. Pupils use the questions to practice taking the free-response section of the AP® Calculus BC exam. Teachers see the different ways questions appear on the exam to prepare individuals for whatever comes their way on...
Lesson Planet

#### 1999 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Gain an understanding of the test before taking your own. Scholars develop an understanding of how calculus concepts appear on the AP® exam. The six released questions come from across the curriculum and include particle movement and...
Lesson Planet

#### 2004 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop a deeper understanding of calculus. The released item and support materials allows teachers and pupils to dig deeper into calculus topics. Scholars use the commentary and descriptions of the items to gain a better understanding...
Lesson Planet

#### 2001 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
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#### 1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
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#### Exercise Your Way to New Math Skills!

For Teachers 3rd - 5th
Students work as a class to analyze data.
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#### Froot Loops to the Max - Nutrition Worksheet

For Teachers 6th - 8th
In this nutrition worksheet, students solve 10 various problems related to reading the nutritional panel on the side of a box of Froot Loops. They determine how many cups are needed to achieve a certain amount of calories. Then, students...
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#### Cumulative Frequency and Box Plots

For Students 9th - 12th
Learn how to display data. Young data analysts watch a video to review how to create cumulative frequency histograms and box plots. They work on a set of questions to practice producing these data displays.
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#### Lesson 18: Polynomial Functions

For Students 10th - 12th
In this polynomial functions worksheet, students read notes to explore polynomial functions.  They identify the turning points, the maximum and minimum point.  Students find the roots of a function.  This six-page worksheet contains...
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#### Box and Whisker Plots

For Teachers 7th
Seventh graders explore the concept of box and whisker plots. For this box and whisker plots lesson, 7th graders plot data on a box and whisker plot. Students discuss the mean, median, and mode of the data. Students discuss range,...
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#### Froot Loop to the Max - Ordered pairs

For Teachers 6th - 7th
For this Froot Loop to the Max worksheet, learners complete 21 different sets of ordered pairs. They plot each of the ordered pairs listed on the sheet, connecting them in order from #1 through #21. Then, students determine whether it is...
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